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GitHub topics: dependent-types

rocq-prover/rocq

The Rocq Prover is an interactive theorem prover, or proof assistant. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.

Language: OCaml - Size: 195 MB - Last synced at: 1 day ago - Pushed at: 3 days ago - Stars: 5,030 - Forks: 679

rowscript/rowscript

RowScript programming language, making a better browser world

Language: Rust - Size: 1.79 MB - Last synced at: 1 day ago - Pushed at: 1 day ago - Stars: 121 - Forks: 1

dunhamsteve/newt

A toy dependent typed language.

Language: Agda - Size: 1.8 MB - Last synced at: 1 day ago - Pushed at: 1 day ago - Stars: 28 - Forks: 0

newca12/awesome-rust-formalized-reasoning

An exhaustive list of all Rust resources regarding automated or semi-automated formalization efforts in any area, constructive mathematics, formal algorithms, and program verification.

Size: 312 KB - Last synced at: 2 days ago - Pushed at: 2 days ago - Stars: 330 - Forks: 11

agda/agda

Agda is a dependently typed programming language / interactive theorem prover.

Language: Haskell - Size: 146 MB - Last synced at: 2 days ago - Pushed at: 2 days ago - Stars: 2,614 - Forks: 368

brendanzab/language-garden

A garden of small programming language implementations πŸͺ΄

Language: OCaml - Size: 1.37 MB - Last synced at: 2 days ago - Pushed at: 3 days ago - Stars: 219 - Forks: 6

groupoid/anders

🧊 Модальний Π³ΠΎΠΌΠΎΡ‚ΠΎΠΏΡ–Ρ‡Π½ΠΈΠΉ Π²Π΅Ρ€ΠΈΡ„Ρ–ΠΊΠ°Ρ‚ΠΎΡ€ ΠΌΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠΈ

Language: OCaml - Size: 14.4 MB - Last synced at: 1 day ago - Pushed at: 3 days ago - Stars: 22 - Forks: 2

Deducteam/lambdapi

Proof assistant based on the λΠ-calculus modulo rewriting

Language: OCaml - Size: 39 MB - Last synced at: 3 days ago - Pushed at: 3 days ago - Stars: 320 - Forks: 36

chester-lang/chester

Trying to make a practical possibly unsound dependently typed language with algebraic effects

Language: Scala - Size: 56.4 MB - Last synced at: 3 days ago - Pushed at: 4 days ago - Stars: 7 - Forks: 1

AnyDSL/MimIR

MimIR is my Intermediate Representation

Language: C++ - Size: 329 MB - Last synced at: 3 days ago - Pushed at: 4 days ago - Stars: 66 - Forks: 13

FStarLang/FStar

A Proof-oriented Programming Language

Language: F* - Size: 752 MB - Last synced at: 3 days ago - Pushed at: 4 days ago - Stars: 2,816 - Forks: 238

Coder-Spirit/nominal

Powerful nominal types for your Typescript project

Language: TypeScript - Size: 2.66 MB - Last synced at: 2 days ago - Pushed at: 21 days ago - Stars: 83 - Forks: 1

idris-lang/Idris2

A purely functional programming language with first class types

Language: Idris - Size: 112 MB - Last synced at: 4 days ago - Pushed at: 4 days ago - Stars: 2,645 - Forks: 382

saki-lang/saki-dev

A simple scala-like dependent type programming language

Language: Scala - Size: 605 KB - Last synced at: 4 days ago - Pushed at: 4 days ago - Stars: 17 - Forks: 2

chasenorman/Canonical

Canonical is a performant sound and complete type inhabitation solver for dependent type theory.

Language: Lean - Size: 81.1 KB - Last synced at: 6 days ago - Pushed at: 6 days ago - Stars: 10 - Forks: 1

HigherOrderCO/Kind

A modern proof language

Language: Haskell - Size: 34.6 MB - Last synced at: 3 days ago - Pushed at: 3 months ago - Stars: 3,658 - Forks: 146

joelberkeley/spidr

Accelerated machine learning with dependent types

Language: Idris - Size: 1.37 MB - Last synced at: about 24 hours ago - Pushed at: 1 day ago - Stars: 93 - Forks: 5

aya-prover/aya-dev

A proof assistant and a dependently-typed language

Language: Java - Size: 17.8 MB - Last synced at: 7 days ago - Pushed at: 7 days ago - Stars: 317 - Forks: 18

lukaszcz/coqhammer

CoqHammer: An Automated Reasoning Hammer Tool for Coq - Proof Automation for Dependent Type Theory

Language: OCaml - Size: 2.49 MB - Last synced at: 9 days ago - Pushed at: 25 days ago - Stars: 228 - Forks: 32

ionathanch/TTBFL

A logical relations model of a minimal type theory with bounded first-class universe levels mechanized in Lean.

Language: TeX - Size: 1.28 MB - Last synced at: 3 days ago - Pushed at: 12 days ago - Stars: 9 - Forks: 1

magmide/magmide

A dependently-typed proof language intended to make provably correct bare metal code possible for working software engineers.

Language: Coq - Size: 38.5 MB - Last synced at: 9 days ago - Pushed at: about 1 year ago - Stars: 823 - Forks: 13

leanprover/lean3 πŸ“¦

Lean Theorem Prover

Language: C++ - Size: 50.3 MB - Last synced at: 3 days ago - Pushed at: over 1 year ago - Stars: 2,150 - Forks: 217

mattam82/Coq-Equations

A function definition package for Coq

Language: Coq - Size: 58.9 MB - Last synced at: 2 days ago - Pushed at: 10 days ago - Stars: 228 - Forks: 49

chameco/bramble

dependently-typed lisp with flexible compiler backends

Language: Haskell - Size: 73.2 KB - Last synced at: 7 days ago - Pushed at: almost 6 years ago - Stars: 27 - Forks: 1

yiyunliu/mltt-consistency

Logical relation for predicative CC omega with booleans and an intensional identity type

Language: TeX - Size: 7.93 MB - Last synced at: 3 days ago - Pushed at: about 2 months ago - Stars: 12 - Forks: 2

kevinclancy/SchemaTypes

Dependently typed schema language for MUMPS

Language: F# - Size: 2.91 MB - Last synced at: 7 days ago - Pushed at: 20 days ago - Stars: 1 - Forks: 0

ilya-klyuchnikov/lambdapi

Dependently Typed Lambda Calculus in Haskell

Language: Haskell - Size: 66.4 KB - Last synced at: 6 days ago - Pushed at: about 4 years ago - Stars: 115 - Forks: 21

jespercockx/agda-core

A work-in-progress core language for Agda, in Agda

Language: Agda - Size: 465 KB - Last synced at: 23 days ago - Pushed at: about 1 month ago - Stars: 48 - Forks: 3

uwplse/pumpkin-pi

An extension to PUMPKIN PATCH with support for proof repair across type equivalences.

Language: Coq - Size: 3.44 MB - Last synced at: 19 days ago - Pushed at: 26 days ago - Stars: 49 - Forks: 9

andrew-johnson-4/LSTS

Large Scale Type Systems (programming language)

Size: 1.21 MB - Last synced at: 9 days ago - Pushed at: 3 months ago - Stars: 121 - Forks: 3

liesnikov/extensible-elaborator

prototype implementation of a dependently-typed language with an extendable constraints and accompanying materials

Language: TeX - Size: 34.9 MB - Last synced at: 9 days ago - Pushed at: 12 months ago - Stars: 7 - Forks: 1

jackfoxy/DependentTypes

experiments with @robkuz LimitedValue type

Language: F# - Size: 734 KB - Last synced at: 19 days ago - Pushed at: over 5 years ago - Stars: 71 - Forks: 3

ilyasergey/pnp

Lecture notes for a short course on proving/programming in Coq via SSReflect.

Language: Coq - Size: 6.47 MB - Last synced at: 15 days ago - Pushed at: almost 4 years ago - Stars: 163 - Forks: 19

jfdm/velo-lang

Velo is a tiny language (STLC + Hutton's Razor with Bools) to showcase & explore efficient verified implementations in Idris2.

Language: Idris - Size: 1.08 MB - Last synced at: 26 days ago - Pushed at: about 2 years ago - Stars: 16 - Forks: 2

forked-from-1kasper/anders

Anders: Cubical Type Checker

Language: OCaml - Size: 4.02 MB - Last synced at: 19 days ago - Pushed at: over 1 year ago - Stars: 24 - Forks: 1

DimaSamoz/mezzo

A Haskell library for typesafe music composition

Language: Haskell - Size: 1.2 MB - Last synced at: 17 days ago - Pushed at: about 6 years ago - Stars: 364 - Forks: 12

qexat/inductive

inductive is a Python library that defines inductive data structures such as Peano numbers and linked lists.

Language: Python - Size: 242 KB - Last synced at: 1 day ago - Pushed at: about 1 month ago - Stars: 7 - Forks: 0

owo-lang/voile-rs

Dependently-typed row-polymorphic programming language, evolved from minitt-rs

Language: Rust - Size: 818 KB - Last synced at: 6 days ago - Pushed at: over 4 years ago - Stars: 97 - Forks: 5

cedille/cedille

Cedille, a dependently typed programming languages based on the Calculus of Dependent Lambda Eliminations

Language: Agda - Size: 19.3 MB - Last synced at: about 1 month ago - Pushed at: over 1 year ago - Stars: 374 - Forks: 27

gfngfn/lw-staged-deptype

Language: Haskell - Size: 542 KB - Last synced at: 15 days ago - Pushed at: about 2 months ago - Stars: 3 - Forks: 0

ualib/agda-algebras

The Agda Universal Algebra Library (html docs available at the url below)

Language: Agda - Size: 65 MB - Last synced at: 9 days ago - Pushed at: 5 months ago - Stars: 33 - Forks: 7

konn/sized

Sized sequence data-types

Language: Haskell - Size: 614 KB - Last synced at: 18 days ago - Pushed at: about 2 months ago - Stars: 11 - Forks: 1

propensive/cardinality

Dependently-typed range-checked numbers for Scala

Language: Scala - Size: 2.02 MB - Last synced at: 5 days ago - Pushed at: 2 months ago - Stars: 2 - Forks: 0

ggzor/specifying-verifying-tail-recursion

Source code for the paper "Specifying and Verifying a Transformation of Recursive Functions into Tail-Recursive Functions"

Language: TeX - Size: 2.5 MB - Last synced at: 3 days ago - Pushed at: over 2 years ago - Stars: 1 - Forks: 1

01mf02/kontroli-hs

Alternative implementation of the logical framework Dedukti

Language: Haskell - Size: 23.4 KB - Last synced at: 26 days ago - Pushed at: over 5 years ago - Stars: 1 - Forks: 0

tensor-fusion/Coquand-SML

A bidirectional dependent type checker in Standard ML

Language: Standard ML - Size: 9.77 KB - Last synced at: about 2 months ago - Pushed at: 9 months ago - Stars: 1 - Forks: 0

brendanzab/agda-logic-playground

Messing around with propositional logic in Agda

Language: Agda - Size: 1.95 KB - Last synced at: about 1 month ago - Pushed at: over 8 years ago - Stars: 1 - Forks: 0

mtumilowicz/scala3-dependent-types-polymorphic-functions-workshop

Introduction to typelevel programming: phantom types, dependent types, path dependent types and Curry-Howard isomorphism.

Language: Scala - Size: 324 KB - Last synced at: about 2 months ago - Pushed at: 3 months ago - Stars: 1 - Forks: 0

vendethiel/dependent-printf

I'm terrible at this, eh.

Language: Agda - Size: 109 KB - Last synced at: about 1 month ago - Pushed at: over 10 years ago - Stars: 1 - Forks: 0

d-plaindoux/scalpel

Scalpel is a parser combinator library using path depend type capability

Language: Scala - Size: 63.5 KB - Last synced at: 23 days ago - Pushed at: 3 months ago - Stars: 1 - Forks: 0

yurrriq/cedille-playground

:notebook: Maybe someday useful and organized notes about Cedille.

Size: 8.79 KB - Last synced at: about 1 month ago - Pushed at: about 6 years ago - Stars: 2 - Forks: 0

andreasabel/red-black-tree-left-leaning

Left-leaning red-black trees in Agda (insertion and deletion) with static ordering and balancing invariants

Language: Agda - Size: 151 KB - Last synced at: about 2 months ago - Pushed at: 2 months ago - Stars: 2 - Forks: 0

Kamirus/coq-course

Coq course materials with my solutions

Language: Coq - Size: 1.31 MB - Last synced at: 14 days ago - Pushed at: about 5 years ago - Stars: 2 - Forks: 0

sudonatalie/thesis

My now-completed Master's thesis.

Language: TeX - Size: 5.39 MB - Last synced at: 15 days ago - Pushed at: over 6 years ago - Stars: 2 - Forks: 0

taktoa/inference

Experiments in dependent type inference

Language: Haskell - Size: 57.6 KB - Last synced at: about 1 month ago - Pushed at: almost 8 years ago - Stars: 3 - Forks: 1

propensive/typonym

Collections raised to the type-level in Scala

Language: Scala - Size: 646 KB - Last synced at: 10 days ago - Pushed at: 3 months ago - Stars: 3 - Forks: 0

CrowdHailer/eyg

Explicit concurrency for intelligible parallel programing.

Language: Rust - Size: 73.2 KB - Last synced at: 14 days ago - Pushed at: almost 5 years ago - Stars: 3 - Forks: 0

leostera/libra

:balance_scale: A Lisp Parser in Idris

Language: Idris - Size: 438 KB - Last synced at: 18 days ago - Pushed at: about 8 years ago - Stars: 3 - Forks: 0

sigma-andex/scala-fast-vect

Fast πŸ†, type-safe vectors for Scala

Language: Scala - Size: 12.7 KB - Last synced at: 20 days ago - Pushed at: over 2 years ago - Stars: 4 - Forks: 0

DmytroMitin/arend-exercises

Size: 3.91 KB - Last synced at: about 2 months ago - Pushed at: over 6 years ago - Stars: 4 - Forks: 0

bracevac/dotter

Towards richer dependent types for DOT

Language: Coq - Size: 365 KB - Last synced at: 19 days ago - Pushed at: about 4 years ago - Stars: 5 - Forks: 0

dannywillems/master-thesis

My master thesis on RML : In French.

Language: TeX - Size: 7.1 MB - Last synced at: 9 days ago - Pushed at: over 2 years ago - Stars: 5 - Forks: 0

wilbowma/cur-control

An implementation of control operators for Cur.

Language: Racket - Size: 15.6 KB - Last synced at: about 2 months ago - Pushed at: over 7 years ago - Stars: 7 - Forks: 1

DanilaFe/maypop

Dependently typed programming language implemented in Literate Haskell.

Language: Haskell - Size: 774 KB - Last synced at: 11 days ago - Pushed at: over 3 years ago - Stars: 7 - Forks: 0

tofu-tf/cherry

Universal Data design and transform language core

Language: Scala - Size: 104 KB - Last synced at: 17 days ago - Pushed at: 6 months ago - Stars: 8 - Forks: 4

chameco/reliquary

Concatenative dependently-typed functional programming language

Language: Haskell - Size: 73.2 KB - Last synced at: 7 days ago - Pushed at: almost 8 years ago - Stars: 9 - Forks: 0

oisdk/type-indexed-queues

Queues with verified and unverified versions

Language: Haskell - Size: 17.9 MB - Last synced at: 16 days ago - Pushed at: almost 8 years ago - Stars: 9 - Forks: 0

timjb/idris-pfds

Purely functional data structures in Idris

Language: Idris - Size: 37.1 KB - Last synced at: 23 days ago - Pushed at: over 7 years ago - Stars: 10 - Forks: 1

thamugadi/semantic-preservation

Attempt to prove semantic preservation (forward simulation) for a simple compiler.

Language: Coq - Size: 106 KB - Last synced at: 15 days ago - Pushed at: 12 months ago - Stars: 10 - Forks: 0

simongregersen/DepSec

A library for static information-flow control in Idris

Language: Idris - Size: 18.6 KB - Last synced at: about 1 month ago - Pushed at: about 6 years ago - Stars: 10 - Forks: 0

steshaw/lennart-lambda-cube

Lennart Augustsson's lamda cube

Language: Haskell - Size: 20.5 KB - Last synced at: 15 days ago - Pushed at: almost 9 years ago - Stars: 12 - Forks: 3

gallais/idris-tmustache

Total Logic-Less Templating Library

Language: Idris - Size: 56.6 KB - Last synced at: 26 days ago - Pushed at: about 7 years ago - Stars: 13 - Forks: 1

appliedfm/vstyle

A style guide for Coq

Size: 646 KB - Last synced at: 15 days ago - Pushed at: over 3 years ago - Stars: 18 - Forks: 0

ziman/ttstar

Dependently typed core calculus with erasure

Language: Idris - Size: 3.25 MB - Last synced at: 26 days ago - Pushed at: over 3 years ago - Stars: 19 - Forks: 0

jonsterling/coq-guarded-computational-type-theory

Language: Coq - Size: 421 KB - Last synced at: 1 day ago - Pushed at: about 7 years ago - Stars: 21 - Forks: 1

jaredloomis/Idris-HoTT

Homotopy Type Theory proofs in Idris

Language: Idris - Size: 3.91 KB - Last synced at: about 2 months ago - Pushed at: almost 6 years ago - Stars: 22 - Forks: 1

DmytroMitin/AUXify

Introduces macro/meta annotations @ aux, @ self, @ instance, @ apply, @ delegated, @ syntax and String-based type class LabelledGeneric

Language: Scala - Size: 13.9 MB - Last synced at: 14 days ago - Pushed at: almost 5 years ago - Stars: 29 - Forks: 3

ThoughtWorksInc/feature.scala

Access Scala language features on the type-level

Language: Scala - Size: 501 KB - Last synced at: 16 days ago - Pushed at: 8 months ago - Stars: 31 - Forks: 3

konn/type-natural

Type-level well-kinded natural numbers.

Language: Haskell - Size: 555 KB - Last synced at: 16 days ago - Pushed at: 4 months ago - Stars: 34 - Forks: 12

jonascarpay/convoluted

Dependently typed convolutional neural networks

Language: Haskell - Size: 98.6 KB - Last synced at: 9 days ago - Pushed at: almost 8 years ago - Stars: 35 - Forks: 1

gallettilance/magnificATS

Collection of ATS goodness

Language: ATS - Size: 20.2 MB - Last synced at: 2 months ago - Pushed at: over 5 years ago - Stars: 35 - Forks: 2

doofin/differentiable-idris

dependent types meets deep learning

Language: Idris - Size: 51.8 KB - Last synced at: 3 days ago - Pushed at: over 6 years ago - Stars: 43 - Forks: 7

WhatisRT/meta-cedille

Minimalistic dependent type theory with syntactic metaprogramming

Language: Agda - Size: 945 KB - Last synced at: about 2 months ago - Pushed at: 10 months ago - Stars: 57 - Forks: 0

bor0/gidti

Book: Introduction to Dependent Types with Idris

Size: 10.9 MB - Last synced at: 2 months ago - Pushed at: about 2 years ago - Stars: 76 - Forks: 4

scott-fleischman/agda-from-nothing

A workshop on learning Agda with minimal prerequisites.

Language: Agda - Size: 422 KB - Last synced at: 7 days ago - Pushed at: almost 9 years ago - Stars: 85 - Forks: 6

Lysxia/first-class-families

First-class type families

Language: Haskell - Size: 126 KB - Last synced at: 15 days ago - Pushed at: 8 months ago - Stars: 87 - Forks: 12

EugeneLoy/coq_jupyter

Jupyter kernel for Coq

Language: Python - Size: 414 KB - Last synced at: 25 days ago - Pushed at: 8 months ago - Stars: 96 - Forks: 8

leopiney/tensor-safe

A Haskell framework to define valid deep learning models and export them to other frameworks like TensorFlow JS or Keras.

Language: Haskell - Size: 415 KB - Last synced at: 7 days ago - Pushed at: over 2 years ago - Stars: 102 - Forks: 1

ilya-klyuchnikov/ttlite

A SuperCompiler for Martin-LΓΆf's Type Theory

Language: Scala - Size: 1.5 MB - Last synced at: 15 days ago - Pushed at: about 3 years ago - Stars: 120 - Forks: 9

forked-from-1kasper/bravo

Castle Bravo: Experimental HoTT Implementation

Language: OCaml - Size: 381 KB - Last synced at: 19 days ago - Pushed at: almost 2 years ago - Stars: 7 - Forks: 1

forked-from-1kasper/hurricane

Hurricane: HoTT-I Type System

Language: OCaml - Size: 44.9 KB - Last synced at: about 2 months ago - Pushed at: about 3 years ago - Stars: 1 - Forks: 0

slamko/ocadl

Blazingly type safe GPU accelerated Multi-Layer Perceptron

Language: OCaml - Size: 9.11 MB - Last synced at: about 1 month ago - Pushed at: over 1 year ago - Stars: 2 - Forks: 0

Isaac-DeFrain/dependent

An implementation of dependently typed lambda calculus

Language: OCaml - Size: 43 KB - Last synced at: 20 days ago - Pushed at: almost 3 years ago - Stars: 5 - Forks: 0

dannywillems/RML

ML modules and functors as first-class citizens by unifying ML modules and ML records with path dependent types and subtyping.

Language: OCaml - Size: 218 KB - Last synced at: 10 days ago - Pushed at: almost 3 years ago - Stars: 37 - Forks: 3

jonsterling/dreamtt

A pedagogic implementation of abstract bidirectional elaboration for dependent type theory.

Language: OCaml - Size: 319 KB - Last synced at: 22 days ago - Pushed at: over 3 years ago - Stars: 82 - Forks: 3

d-plaindoux/tyasta

A journey with F*

Language: F* - Size: 53.7 KB - Last synced at: 20 days ago - Pushed at: almost 2 years ago - Stars: 8 - Forks: 0

i-am-tom/learn-me-a-haskell

Trying to get back all the stuff I had in JavaScript.

Language: Haskell - Size: 138 KB - Last synced at: 18 days ago - Pushed at: over 6 years ago - Stars: 69 - Forks: 1

yoav-lavi/ts-dependent-types

An experimental collection of dependent type definitions in TypeScript

Language: TypeScript - Size: 61.5 KB - Last synced at: 11 days ago - Pushed at: about 3 years ago - Stars: 5 - Forks: 0

sigma-andex/purescript-fast-vect

Fast πŸ†, type-safe vectors for Purescript

Language: PureScript - Size: 969 KB - Last synced at: 20 days ago - Pushed at: over 1 year ago - Stars: 25 - Forks: 5

tobybenjaminclark/divinity

πŸͺ„ Peoples Prize for HackSheffield9! Dependently typed toy language with LLM-verified holes developed in Rust using Z3 Theorem Prover!

Language: Python - Size: 62 MB - Last synced at: 26 days ago - Pushed at: 3 months ago - Stars: 0 - Forks: 0

Related Keywords
dependent-types 267 programming-language 43 type-theory 42 idris 34 functional-programming 33 haskell 29 proof-assistant 27 compiler 25 agda 20 lambda-calculus 17 theorem-proving 16 coq 16 type-system 15 scala 15 rust 14 language 13 dependent-type-theory 12 theorem-prover 11 type-checker 10 verification 10 logic 10 formal-verification 10 homotopy-type-theory 10 metaprogramming 9 types 8 type-level-programming 8 idris2 8 lean 7 ocaml 7 mltt 6 cubical-type-theory 6 interpreter 6 dependent-record-types 6 formal-methods 5 hott 5 typechecker 5 elaboration 4 lean4 4 proof 4 machine-learning 4 shapeless 4 typelevel-programming 4 lisp 4 ghc 4 type-driven-development 4 racket 4 type-checking 4 category-theory 4 data-structures 4 functional 4 haskell-library 4 compilers 3 parser 3 formal-proofs 3 typescript 3 partial-evaluators 3 learning 3 prover 3 proofs 3 agda-library 3 formal-specification 3 systems-language 3 universal-algebra 3 deep-learning 3 continuation-passing-style 3 hott-uf 3 univalent-foundations 3 formalization 3 type-safe 3 programming-languages 3 c 3 interactive-theorem-proving 3 repl 3 swift 3 math 2 mathematics 2 refinement-types 2 dedukti 2 literate-programming 2 blockchain 2 dsl 2 learning-agda 2 lecture-notes 2 model-theory 2 gadt 2 lf 2 dependent-intersections 2 logic-programming 2 fsharp 2 cicada 2 tutorial 2 minecraft 2 quantum-computing 2 programming-language-theory 2 debruijn-indices 2 study-group 2 type-providers 2 purely-functional-data-structures 2 normalization-by-evaluation 2 concatenative 2