Growing Commas. A Study of Sequentiality and Concatenation

被引:29
作者
Visser, Albert [1 ]
机构
[1] Univ Utrecht, Dept Philosophy, NL-3584 CS Utrecht, Netherlands
关键词
concatenation; strings; sequentiality; INTERPRETABILITY; LOGIC;
D O I
10.1215/00294527-2008-028
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In his paper "Undecidability without arithmetization," Andrzej Grzegorczyk introduces a theory of concatenation TC. We show that pairing is not definable in TC. We determine a reasonable extension of TC that is sequential, that is, has a good sequence coding.
引用
收藏
页码:61 / 85
页数:25
相关论文
共 40 条
[31]   DECISION PROBLEMS FOR MULTIPLE SUCCESSOR ARITHMETICS [J].
THATCHER, JW .
JOURNAL OF SYMBOLIC LOGIC, 1966, 31 (02) :182-&
[32]  
Visser A, 1998, CSLI LECT N, P307
[33]   THE UNPROVABILITY OF SMALL INCONSISTENCY - A STUDY OF LOCAL AND GLOBAL INTERPRETABILITY [J].
VISSER, A .
ARCHIVE FOR MATHEMATICAL LOGIC, 1993, 32 (04) :275-298
[35]   Faith & falsity [J].
Visser, A .
ANNALS OF PURE AND APPLIED LOGIC, 2005, 131 (1-3) :103-131
[36]  
Visser A., 2006, Lecture notes in logic, V26, P284
[37]  
VISSER A, 1986, RUUCS8615 UTR U
[38]  
Visser A., 1990, MATH LOGIC, P175
[39]   Pairs, sets and sequences in first-order theories [J].
Visser, Albert .
ARCHIVE FOR MATHEMATICAL LOGIC, 2008, 47 (04) :299-326
[40]   Notes on polynomially bounded arithmetic [J].
Zambella, D .
JOURNAL OF SYMBOLIC LOGIC, 1996, 61 (03) :942-966