WorldCat Identities

Bellin, Gianluigi

Works: 6 works in 29 publications in 1 language and 55 library holdings
Roles: Author
Classifications: QA76,
Publication Timeline
Most widely held works by Gianluigi Bellin
A decision procedure revisited : notes on direct logic, linear logic and its implementation by Gianluigi Bellin( Book )

6 editions published in 1991 in English and held by 15 WorldCat member libraries worldwide

Abstract: "This paper studies decidable fragments of predicate calculus. We will focus on the structure of Direct Predicate Calculus as defined in [Ketonen and Weyhrauch 1984] in the light of the recent work of Girard [Girard 1987, 1988 A and B] on Linear Logic. Several graph- theoretic results are used to prove correspondences between systems of Natural Deduction, Direct Predicate Logic, and Linear Logic. In addition, the implementation of a decision procedure for Direct Predicate Logic is sketched."
Mechanizing proof theory : resource-aware logics and proof transformations to extract implicit information by Gianluigi Bellin( Book )

9 editions published between 1990 and 1991 in English and held by 15 WorldCat member libraries worldwide

Resource-aware logics restrict the number of times an assumption may be used in a proof and are of interest for proof-checking not only in relation to their decidability or computational complexity, but also because they efficiently solve the practical problem of representing the structure of relevance in a derivation. In particular, in Direct Logic only one subformula-occurrence of the input is allowed, and the connections established during a successful proof-verification can be represented on the input without altering it. In addition, the values for the parameters obtained from unwinding are read off directly
Experiments in automatic theorem proving by Gianluigi Bellin( Book )

7 editions published between 1986 and 1987 in English and Undetermined and held by 13 WorldCat member libraries worldwide

The experiments described in this report are proofs in EKL of properties of different LISP programs operating on different representations of the same mathematical structures - finite permutations. EKL is an interactive proof checker based upon the language of higher order logic, higher order unification and a decision procedure for a fragment of first order logic. The following questions are asked: What representations of mathematical structure and facts are better suited for formalization and also simultaneously applicable to many different contexts? What methods and strategies will make it possible to prove automatically an extensive body of mathematical knowledge? Can higher order logic be conveniently applied to proofs of elementary facts?
Proof nets for multiplicative and additive linear logic by Gianluigi Bellin( Book )

5 editions published in 1991 in English and held by 10 WorldCat member libraries worldwide

Abstract: "This paper extends the theory of proof nets from Multiplicative Linear Logic to Multiplicative and Additive Linear Logic, by removing the additive boxes. This yields uniqueness of normal form for that fragment and a classification of permutability of inferences in the calculus of sequents for classical Linear Logic."
Pragmatic and dialogic interpretations of bi-intuitionism( )

1 edition published in 2014 in English and held by 1 WorldCat member library worldwide

Logic for pragmatics( Book )

1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.79 (from 0.77 for Experiment ... to 1.00 for Logic for ...)

English (28)