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» Induction, Coinduction, and Adjoints
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63
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CORR
2010
Springer
68views Education» more  CORR 2010»
14 years 9 months ago
On the Rationality of Escalation
Escalation is a typical feature of infinite games. Therefore tools conceived for studying infinite mathematical structures, namely those deriving from coinduction are essential. H...
Pierre Lescanne, Perrinel Matthieu
TLCA
1993
Springer
15 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
ENTCS
2010
92views more  ENTCS 2010»
14 years 9 months ago
Two Ways to Common Knowledge
It is not clear what a system for evidence-based common knowledge should look like if common knowledge is treated as a greatest fixed point. This paper is a preliminary step towar...
Samuel Bucheli, Roman Kuznets, Thomas Studer
ESOP
2010
Springer
15 years 6 months ago
A Hoare Logic for the Coinductive Trace-Based Big-Step Semantics of While
In search for a foundational framework for reasoning about observable behavior of programs that may not terminate, we have previously devised a trace-based big-step semantics for W...
Keiko Nakata and Tarmo Uustalu
84
Voted
CIE
2010
Springer
14 years 7 months ago
Proofs, Programs, Processes
Abstract. We study a realisability interpretation for inductive and coinductive definitions and discuss its application to program extraction from proofs. A speciality of this inte...
Ulrich Berger, Monika Seisenberger