Introduction to Higher-Order Categorical Logic

Lambek, J., & Scott, P. J. (1986). Introduction to Higher-Order Categorical Logic. Cambridge University Press.

Type

Book

Intellectual base

Textbook

Year

1986

Link

https://www.cambridge.org/core/books/introduction-to-higherorder-categorical-logic/9C82DE6E0AC6C4ECCB1E7E70C0E9E0BC

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Category
  • Workflow and process modelling. Process states as objects and transitions as arrows; the composition of transitions is the workflow's algebra, and consistency requirements on transformations become composition-preservation conditions. Logic. Propositions as objects and proofs as arrows (the proofs-as-programs / Curry–Howard reading), with proof composition as arrow composition.

    This sourceEstablishes the propositions-as-objects, proofs-as-arrows reading and the Curry–Howard / categorical-logic correspondence.

Domain-specific

• Typed lambda calculus
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

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