[Rd] question about p-value implementation

[Vincent Wolowski]

Hello all,

I hope I have found the right place for my question.

There are different kinds of p-values for one-sided and two-sided
tests, for example mid p-value [1], minimum-likelihood p-value [2] or
conditional two-sided p-value [3].
I tried to find out what kind of p-value is implemented in R with
regard to the two-sided chi-square (function chisq.test()) and
Spearman rank test (function cor.test() with method="spearman"), but I
could not determine this from the documentation or the source.
I would be thankful if someone with a better understanding could
provide an explanation.

[1] J. D. Gibbons, J. W. Pratt. P-Values: Interpretation and Methodology. 1975
[2] I. Rivals, L. Personnaz, L. Taing, M. C. Potier. Enrichment or
depletion of a GO category within a class of genes: which test?. 2006
[3] E. Kulinskaya. One two-sided p-values for non-symmetrical
distributions. 2007

Best regards,
Vincent