Modular proof of strong normalization for the calculus of constructions
Recommend Documents
Dec 8, 1992 - theory is the Calculus of Constructions enriched by inductive types. The ... malization proof for simply typed calculus using ALF Mag92].
for instance Tait-Girard reducibility predicates, but just simple induction on type complexity and ... Key words Lambda calculus â intersection types â normalization ... terms obtained by closing under the term construction operations the rela-.
Dec 8, 1992 - LEGO is a proof development system based on Type Theory which has been ... and strong -types | we only require one predicative universe.
May 18, 2009 - The pioneer calculus with explicit substitutions, λÏ, was introduced by Curien & al. in [1] as a bridge between the classical λ-calculus and ...
Daniel Dougherty,1 Silvia Ghilezan,2 Pierre Lescanne3 and Silvia Likavec2,4. 1 Worcester Polytechnic Institute, USA, [email protected]. 2 Faculty of Engineering, ...
May 18, 2009 - The pioneer calculus with explicit substitutions, λÏ, was introduced by Curien & al. in [1] as a bridge between the classical λ-calculus and ...
of Algebraic Constructions (CAC), an extension of the Calculus of Construc- ... Since the pioneer work by Breazu-Tannen in 1988 5] on the con uence of the.
Apr 16, 2008 - where E is an arbitrary eliminator. That is, E is either a term N or a projection, or epsilon, or it has the form [x.S, y.T]. The full polymorphic ...
formulas to the left of the turnstile. In 1] we suggested annotating the turnstile with a \restriction set" s for this purpose. We are following this suggestion here.
The set of types, Ï, Ï, . . . is generated from the base types boole and nat by the ... function types, i.e. boole, nat and list types Ïâ, are called inductive (because ...
1 Strong normalization - natural deduction. The inference figure shemata: ⢠Implication introduction: [A] .... B. A â B. (â I). ⢠Implication elimination: A A â B. B.
Abstract. We characterize the function spanned by theta series. As an ... has been studied in connection with Jacobi forms ([2], §5); for each m â Z. (m ⥠1) and ...
a proof of strong normalization of System F based on Girard's notion of re- .... ing judgment, as often used in Twelf [10], benefit from inheriting substitution.
Apr 15, 2016 - arXiv:1604.04575v1 [cs.LO] 15 Apr 2016. Under consideration for publication in Math. Struct. in Comp. Science. Proof-relevant Ï-calculus.
combined system of the types lambda calculus and ... where the inductive types are de ned by structural ... calculus of constructions: Strong normalization.
The Calculus of Constructions (CC) ( Coquand 1985]) is a typed lambda calculus ... system for higher order reasoning about inductive data types, which is one of.
1. The Extended calculus of constructions,. ECC. 2. Inductive types in a first order calculus. 3. ECC with inductive types. 4. An w-Set model for ECC with inductive ...
normalizable terms by means of the so called âzoom-inâ perpetual re- duction strategy. ...... when so limited a use of classical reasoning is made. One may thus ...
May 1, 2016 - ... grant âComplexity via Logic and Algebraâ (COLA). .... this reduction does eventually have to reduc
Verifying programs in the Calculus of. Inductive Constructions. Catherine Parent-Vigouroux 1. VERIMAG. Centre Equation, 2 avenue de Vignate, 38610 Gi eres, ...
In Coq Bar99], the set construction fx : Aj(P x)g is used to write speci cations ... the Calculus of Constructions and be extended with inductive data types and.
contract is expired or the content is currently in use, no access will be allowed. Since traditional static ... In domains with versatile characteristics such as security ...
May 12, 2009 - the two pioneer works [6, 15] and the understanding that much remains to ... with the particular cases of discrete-time and the q-calculus of ...
May 12, 2009 - the two pioneer works [6, 15] and the understanding that much remains to ... Definition 3.1), and an example of a problem of the calculus.
Modular proof of strong normalization for the calculus of constructions
[s:c,s':cEAXIOM=> s a s'}, m RULE is utjecttve in its second argument, i.e., Vsl,sg,sg,saeSORT. [(s1, s2, s3), (s1, 5",, s3) E RULE => s2 E s;]. A motivation for these ...
![17] H. Geuvers and MJ Nederhof. A simple modular proof of the strong](https://m.moam.info/img/260x300/17-h-geuvers-and-mj-nederhof-a-simple-modular-proo_5c93cecf097c479c308b4615.jpg)
