A comprehensive survey of Martin-Loef's constructive type theory,
considerable parts of which have only been presented by Martin-Loef
in lecture form or as part of conference talks. Sommaruga surveys
the prehistory of type theory and its highly complex development
through eight different stages from 1970 to 1995. He also provides
a systematic presentation of the latest version of the theory, as
offered by Martin-Loef at Leiden University in Fall 1993. This
presentation gives a fuller and updated account of the system.
Earlier, brief presentations took no account of the issues related
to the type-theoretical approach to logic and the foundations of
mathematics, while here they are accorded an entire part of the
book. Readership: Comprehensive accounts of the history and
philosophy of constructive type theory and a considerable amount of
related material. Readers need a solid background in standard logic
and a first, basic acquaintance with type theory.
General
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