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» Logic of Proofs for Bounded Arithmetic
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TLCA
1993
Springer
14 years 1 months ago
A Logic for Parametric Polymorphism
In this paper we introduce a logic for parametric polymorphism. Just as LCF is a logic for the simply-typed λ-calculus with recursion and arithmetic, our logic is a logic for Sys...
Gordon D. Plotkin, Martín Abadi
CSL
2008
Springer
13 years 11 months ago
Fractional Collections with Cardinality Bounds, and Mixed Linear Arithmetic with Stars
Abstract. We present decision procedures for logical constraints involving collections such as sets, multisets, and fuzzy sets. Element membership in our collections is given by ch...
Ruzica Piskac, Viktor Kuncak
RTA
2005
Springer
14 years 3 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
LOGCOM
2010
120views more  LOGCOM 2010»
13 years 8 months ago
Arithmetical Complexity of First-order Predicate Fuzzy Logics Over Distinguished Semantics
All promiment examples of first-order predicate fuzzy logics are undecidable. This leads to the problem of the arithmetical complexity of their sets of tautologies and satisfiab...
Franco Montagna, Carles Noguera
CADE
2012
Springer
12 years 5 days ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur