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» Analyzing recursive programs using a fixed-point calculus
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POPL
2008
ACM
14 years 5 months ago
The intensional content of Rice's theorem
The proofs of major results of Computability Theory like Rice, Rice-Shapiro or Kleene's fixed point theorem hide more information of what is usually expressed in their respec...
Andrea Asperti
CORR
2008
Springer
179views Education» more  CORR 2008»
13 years 5 months ago
Induction and Co-induction in Sequent Calculus
Abstract. Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent...
Alwen Tiu, Alberto Momigliano
FPCA
1991
13 years 9 months ago
Functional Programming with Bananas, Lenses, Envelopes and Barbed Wire
We develop a calculus for lazy functional programming based on recursion operators associated with data type de nitions. For these operators we derive various algebraic laws that ...
Erik Meijer, Maarten M. Fokkinga, Ross Paterson
POPL
2010
ACM
14 years 2 months ago
Nominal System T
This paper introduces a new recursion principle for inductive data modulo -equivalence of bound names. It makes use of Oderskystyle local names when recursing over bound names. It...
Andrew M. Pitts
CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 5 months ago
Cut Elimination for a Logic with Induction and Co-induction
Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus...
Alwen Tiu, Alberto Momigliano