Is lambda calculus a good match for algorithmic information theory. In a paper entitled binary lambda calculus and combinatory logic, john tromp presents a simple way of encoding lambda calculus. Algorithmic information theory, using binary lambda calculus trompait. Along the way we also present new results on list representations, bracket abstraction, and fixpoint. Citeseerx binary lambda calculus and combinatory logic. In the first part, we introduce binary representations of both lambda calculus and combinatory logic terms, and demonstrate their simplicity by providing very compact parserinterpreters for these binary languages. Hb lambda calculus with types types10, october, 2010 new book cambridge university press asl perspectives in logic, 2011 lambda calculus with types 698. Binary lambda calculus and combinatory logic john tromp march 8, 2006 abstract in the rst part, we introduce binary representations of both lambda calculus and combinatory logic terms, and demonstrate their simplicity by providing very compact parserinterpreters for these binary languages. Tromp, john 2007, binary lambda calculus and combinatory logic, randomness and complexity pdf, world sci.
Pdf in a paper entitled binary lambda calculus and combinatory logic, john tromp presents a simple way of encoding lambda calculus terms as binary. Speed torque curve for jaw crusher, the torque and time requirements of the mill with the ball tromp curve, rrb, gold ore crusher crusher wikipedia. In the first part we introduce binary representations of both lambda calculus and combinatory logic, together with very. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Binary lambda calculus and combinatory logic drops. Algorithmic information theory, using binary lambda calculus html 40 4 tromp. Counting terms in the binary lambda calculus aofa 2014. In what follows, we study the numbers of binary strings of a given size that represent lambda terms and derive results from their generating functions, especially that the number of terms of. Binary lambda calculus and combinatory logic john tromp august 26, 2011 abstract in the. In a paper entitled binary lambda calculus and combinatory logic, john tromp presents a simple way of encoding lambda calculus terms as binary sequences. This is the first of three lectures on the lambda calculus given to secondyear computing undergraduates at imperial college london in december 2015. Pdf binary lambda calculus and combinatory logic semantic.
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